Question

a candy company has 130 pounds of cashews and 170 pounds of peanuts which they combine into different mixes the deluxe has half cashews and half peanuts and sells for $7 a pound the economy mix has one third cashews and two thirds peanuts and sells for 5.40 a pound how many pounds of each mix should be prepared for maximum revenue

Answer 1

If you have x lbs of deluxe and y lbs of economy, then you want to

maximize p=7x+5.4y subject to
x/2 + y/2 <= 130
2x/3 + y/3 <= 170

now graph the lines and find the vertex with maximum p.

Answer 2

I still don't get is I knopw max of parabola is -b/2a but this isn't quadratic